{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from numpy import exp, log\n",
    "from lroptimizer import LROptimizer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_excel(\n",
    "    'Classification_proportions_in_GroundTruth_v2.xlsx',\n",
    "    index_col=1\n",
    ")\n",
    "\n",
    "efs_kwargs = dict(\n",
    "    df = df, \n",
    "    hazard_col = 'Hazard Prediction (-1.0 ~ 1.0)',\n",
    "    events_col = 'Censored (EFS)',\n",
    "    times_col = 'Event Free Survival'\n",
    ")\n",
    "\n",
    "lro1 = LROptimizer(**efs_kwargs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Cutoffs tried previously"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1584x428.4 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# Equal intervals in hazard space.\n",
    "EQ = (-.33333, .33333)\n",
    "\n",
    "# Three equally-sized groups.\n",
    "THIRDS = (-.15, .505)\n",
    "\n",
    "# Equal intervals in exponentially-rescaled hazard space. \n",
    "exp_cutoffs = np.linspace(exp(-1), exp(1), 4)[1:-1]\n",
    "as_linear = log(exp_cutoffs)\n",
    "EXP = tuple(as_linear)\n",
    "\n",
    "\n",
    "# Note that the LROptimizer program is only being used here for its plotting methods.\n",
    "lro1.compare_plots(EQ, THIRDS, EXP)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Optimizing group separation\n",
    "## 1a. Search below *overall* p-value cutoff"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "60 cutoff pairs found with:\n",
      "- Overall p-value < 0.001\n"
     ]
    }
   ],
   "source": [
    "lro1.search(by_overall=True, max_p=.001)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1584x428.4 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lro1.plot_best()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1b. Restrict group sizes "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "13 cutoff pairs found with:\n",
      "- Overall p-value < 0.001\n",
      "- No groups with less than 10% of samples.\n",
      "- No groups with more than 50% of samples.\n"
     ]
    }
   ],
   "source": [
    "lro2 = LROptimizer(**efs_kwargs)\n",
    "lro2.search(by_overall=True, max_p=.001, min_groupsize=.1, max_groupsize=.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1584x428.4 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lro2.plot_best()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2a. Search below a *low-mid and mid-high* p-value cutoff."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "22 cutoff pairs found with:\n",
      "- All p-values < 0.2\n"
     ]
    }
   ],
   "source": [
    "lro3 = LROptimizer(**efs_kwargs)\n",
    "lro3.search(max_p=.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ApDEa8AAAAAAAAIA0RgMeAAAAAAAAkMZowAMAAAAAAADSGA14AAAAAAAAQBr7/wrASx1hsYAqAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1584x428.4 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lro3.plot_best()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2b. Restrict group sizes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 cutoff pairs found with:\n",
      "- All p-values < 0.2\n",
      "- No groups with less than 10% of samples.\n",
      "- No groups with more than 50% of samples.\n"
     ]
    }
   ],
   "source": [
    "lro4 = LROptimizer(**efs_kwargs)\n",
    "lro4.search(max_p=.2, min_groupsize=.1, max_groupsize=.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1584x428.4 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lro4.plot_best()"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "26962ffe7c209225d64403860b4fbae996c644b2595711b6b12395e02eede96c"
  },
  "kernelspec": {
   "display_name": "Python 3.8.8 64-bit",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
